Police were called to the unit block of Beverly Avenue for reports of gunfire around 11:30 p.m.
They arrived to find a 20-year-old man had been shot, along with an 11-year-old girl.
The young girl was shot in the leg and stomach. She is expected to make a full recovery.
Police say at least three more people were hit by bullet fragments. There is no word on the extent of their injuries.
The shooting remains under investigation.
Anyone with information is asked to contact police.